scholarly journals Half Inverse Problems For The Impulsive Quadratic Pencil With The Discontinouty Coefficient

2021 ◽  
Keyword(s):  
Inverse Problems ◽  
Quadratic Pencil

scholarly journals Partial inverse problems for quadratic differential pencils on a graph with a loop

2020 ◽  
Vol 28 (3) ◽  
pp. 449-463 ◽  
Author(s):  
Natalia P. Bondarenko ◽  
Chung-Tsun Shieh
Keyword(s):  
Inverse Problems ◽  
A Priori ◽  
Spectral Characteristics ◽  
The Other ◽  
Boundary Edge ◽  
Partial Inverse ◽  
Quadratic Pencil ◽  
Sturm Liouville ◽  
Differential Pencils ◽  
Liouville Operators

AbstractIn this paper, partial inverse problems for the quadratic pencil of Sturm–Liouville operators on a graph with a loop are studied. These problems consist in recovering the pencil coefficients on one edge of the graph (a boundary edge or the loop) from spectral characteristics, while the coefficients on the other edges are known a priori. We obtain uniqueness theorems and constructive solutions for partial inverse problems.

scholarly journals Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Rauf Kh. Amırov ◽  
A. Adiloglu Nabıev
Keyword(s):  
Inverse Problems ◽  
Boundary Value Problem ◽  
Finite Interval ◽  
Boundary Value ◽  
Weyl Function ◽  
Integral Representations ◽  
Asymptotic Formulas ◽  
Linearly Independent ◽  
Quadratic Pencil ◽  
Sturm Liouville

In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered. Some useful integral representations for the linearly independent solutions of a quadratic pencil of Sturm-Liouville equation have been derived and using these, important spectral properties of the boundary value problem are investigated; the asymptotic formulas for eigenvalues, eigenfunctions, and normalizing numbers are obtained. The uniqueness theorems for the inverse problems of reconstruction of the boundary value problem from the Weyl function, from the spectral data, and from two spectra are proved.

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

2017 ◽  
Vol 5 (2) ◽  
pp. 14-35
Author(s):  
S.I. Kabanikhin ◽  
◽  
O.I. Krivorotko ◽  
D.V. Ermolenko ◽  
V.N. Kashtanova ◽  
...  
Keyword(s):  
Inverse Problems

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

2017 ◽  
Vol 5 (2) ◽  
pp. 14-35 ◽  
Author(s):  
S.I. Kabanikhin ◽  
O.I. Krivorotko ◽  
D.V. Ermolenko ◽  
V.N. Kashtanova ◽  
V.A. Latyshenko
Keyword(s):  
Inverse Problems
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